PHYSICS 6624 – Quantum Mechanics II

Spring 2008

Lecturer: Eduardo Mucciolo (office in MAP 416, ext 3-1882, e-address: mylastname at physics dot ucf dot edu

Schedule and Location: Mondays and Wednesdays, 01:30 – 2:45 pm, in PL 0101 (the Physiscs trailer behind the Classroom Building I). Office hours: Mondays and Tuesdays, 11:00 am – 12:00 pm, in MAP 416.

Credit hours: 3 units.

Prerequisites: Quantum Mechanics I (PHY 5606).


1) Spin: Combination with orbital degrees of freedom. Density matrices.

2) Identical Particles and Quantum StatisticsN-particle systems. Fermions and bosons. Second quantization.

3) Addition of Angular Momentum: Simplified version. General version. Clebsch-Gordan coefficients. Irreducible tensor operators. Degeneracies.

4) Variational and WKB Methods: General formulations. Examples and applications.
6) Time-Independent Perturbation Theory: General formalism. Examples and applications. Degenerate case.
7) Time-Dependent Perturbation Theory: First-order case. Higher-order cases. Interaction of atoms with electromagnetic radiation.

8) Scattering Theory: General formalism (Lippmann-Schwinger equation). Born approximation. Partial wave expansion. Optical theorem. Two-particle scattering.

9) Relativistic Quantum Mechanics: Free-particle Dirac equation. Electron spin. Spin-orbit coupling. Interaction with electromagnetic fields.

Textbook:Principles of Quantum Mechanics, 2nd edition, by R. Shankar (Plenum Press, 1994).

Other useful books for this course are: Modern Quantum Mechanics, 2nd edition, by J. J. Sakurai (Addison-Wesley, 1994); Quantum Mechanics: Non-Relativistic Theory, 3rd edition, by E. M. Lifshitz and L. D. Landau (Butterworth-Heinemann, 1981).

Grading: Final grades will be based on homework (1/3), a mid-term  exam (1/3), and a final exam (1/3). Homework sets will be handed out every two weeks, approximately. Grading will be done over a scale from 0 to 100. Final letter grades will be given according to the following grid:  A (100-95), A- (94-90), B+(89-85), B (84-80),  B- (79-76), C+ (75-70), C (69-66), C- (65-61), D+ (60-57), D (56-53), D- (52-50), F (49-0). Homework sets handed in after the due date will be devaluated in 10% for every late day. The days for the mid-term exam is February 25 (Monday) during regular lecture hours. The final exam has been schedule for April 28 (Monday), from 1:00-3:50 pm. All exams will take place in PL 0101.


PROBLEM SETS (pdf files)

#1 (due Friday, January 18)
#2 (due Wednesday, February 6)
#3 (due Wednesday, February 20)
#4 (due Friday, March 7)
#5 (due Friday, March 28)
#6 (due Friday, April 11)
#7 (due Friday, April 25)


Eduardo Mucciolo 2008-04-15